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Simplifying 6(x + -6) + 10 = 2(x + -3) Reorder the terms: 6(-6 + x) + 10 = 2(x + -3) (-6 * 6 + x * 6) + 10 = 2(x + -3) (-36 + 6x) + 10 = 2(x + -3) Reorder the terms: -36 + 10 + 6x = 2(x + -3) Combine like terms: -36 + 10 = -26 -26 + 6x = 2(x + -3) Reorder the terms: -26 + 6x = 2(-3 + x) -26 + 6x = (-3 * 2 + x * 2) -26 + 6x = (-6 + 2x) Solving -26 + 6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x -26 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 4x = -6 + 0 -26 + 4x = -6 Add '26' to each side of the equation. -26 + 26 + 4x = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -6 + 26 4x = -6 + 26 Combine like terms: -6 + 26 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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